Pith Number

pith:PRGLTJXS

pith:2025:PRGLTJXSRPB3LFKGFZQQL6ZZLF

not attested not anchored not stored refs pending

Anomalies on ALE spaces and phases of gauge theory

Mohamed M. Anber

arxiv:2512.11970 v2 · 2025-12-12 · hep-th · cond-mat.str-el · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRGLTJXSRPB3LFKGFZQQL6ZZLF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-11T01:09:24.272130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4cb9a6f28bc3b595462e6105fb39596dfa13995ce77ae1c4b0ead9f929d576

Aliases

arxiv: 2512.11970 · arxiv_version: 2512.11970v2 · doi: 10.48550/arxiv.2512.11970 · pith_short_12: PRGLTJXSRPB3 · pith_short_16: PRGLTJXSRPB3LFKG · pith_short_8: PRGLTJXS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PRGLTJXSRPB3LFKGFZQQL6ZZLF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7c4cb9a6f28bc3b595462e6105fb39596dfa13995ce77ae1c4b0ead9f929d576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "921359bae27626fde749f048c93f782fbc589691279d506028d43e9fdee4787a",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-12T19:00:07Z",
    "title_canon_sha256": "fef874e11f732965306afa1376e801c0547f76e549adc603e0e9cbf282ffcb37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11970",
    "kind": "arxiv",
    "version": 2
  }
}